{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:UDJVOJ5S3IGME2SS3SK6DRFEZQ","short_pith_number":"pith:UDJVOJ5S","canonical_record":{"source":{"id":"1603.01424","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-04T11:22:55Z","cross_cats_sorted":[],"title_canon_sha256":"67a171aa51ab8bdb40eb64d699b90a43e81f2dd4d0c8a71168eace3dcb84a6eb","abstract_canon_sha256":"a547e97a429ccd1329d7549f2b9b3e9f5bf5c557d47005fe2e8a8faebc012b11"},"schema_version":"1.0"},"canonical_sha256":"a0d35727b2da0cc26a52dc95e1c4a4cc22b0666a9119dc1a0cdaa3f2db6e77a8","source":{"kind":"arxiv","id":"1603.01424","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01424","created_at":"2026-05-18T00:44:16Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01424v2","created_at":"2026-05-18T00:44:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01424","created_at":"2026-05-18T00:44:16Z"},{"alias_kind":"pith_short_12","alias_value":"UDJVOJ5S3IGM","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UDJVOJ5S3IGME2SS","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UDJVOJ5S","created_at":"2026-05-18T12:30:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:UDJVOJ5S3IGME2SS3SK6DRFEZQ","target":"record","payload":{"canonical_record":{"source":{"id":"1603.01424","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-04T11:22:55Z","cross_cats_sorted":[],"title_canon_sha256":"67a171aa51ab8bdb40eb64d699b90a43e81f2dd4d0c8a71168eace3dcb84a6eb","abstract_canon_sha256":"a547e97a429ccd1329d7549f2b9b3e9f5bf5c557d47005fe2e8a8faebc012b11"},"schema_version":"1.0"},"canonical_sha256":"a0d35727b2da0cc26a52dc95e1c4a4cc22b0666a9119dc1a0cdaa3f2db6e77a8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:44:16.152101Z","signature_b64":"YQdT6ztdlBnylZkQUcxBUkmk4c8pPSD4D1VclbteljZ/5W7j5reNXIOhYmtGBrC0D/ziS77hP4OEkKG6yRIUCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a0d35727b2da0cc26a52dc95e1c4a4cc22b0666a9119dc1a0cdaa3f2db6e77a8","last_reissued_at":"2026-05-18T00:44:16.151279Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:44:16.151279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.01424","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GkWeyj6vIx+hXKLdWP2lpl9O/QtoWOFmOgfXtDIBd3ia9agaPvizQy9AOfCLubbEvdkk5pQER8jumiec6XJDBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T21:53:43.297347Z"},"content_sha256":"64f7e13d48d13b0c9c40dfd06fc63ffc910d58687362bfdbeb773551a6d6f995","schema_version":"1.0","event_id":"sha256:64f7e13d48d13b0c9c40dfd06fc63ffc910d58687362bfdbeb773551a6d6f995"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:UDJVOJ5S3IGME2SS3SK6DRFEZQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Estimating Non-Simplified Vine Copulas Using Penalized Splines","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"stat.ME","authors_text":"Christian Schellhase, Fabian Spanhel","submitted_at":"2016-03-04T11:22:55Z","abstract_excerpt":"Vine copulas (or pair-copula constructions) have become an important tool for high-dimensional dependence modeling. Typically, so called simplified vine copula models are estimated where bivariate conditional copulas are approximated by bivariate unconditional copulas. We present the first non-parametric estimator of a non-simplified vine copula that allows for varying conditional copulas using penalized hierarchical B-splines. Throughout the vine copula, we test for the simplifying assumption in each edge, establishing a data-driven non-simplified vine copula estimator. To overcome the curse "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01424","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:44:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XfGJBNCPY51BADM2sA6+YWHkZHdtelO+v8COMmqcKuK4RngRpc58dKJTOOPePRVFq1oqwqw8yrYcYzMw28BuAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T21:53:43.297693Z"},"content_sha256":"14167d8f6e2d1313211614dd1e05ca3fd6bae4520d023086658bded7159cb615","schema_version":"1.0","event_id":"sha256:14167d8f6e2d1313211614dd1e05ca3fd6bae4520d023086658bded7159cb615"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UDJVOJ5S3IGME2SS3SK6DRFEZQ/bundle.json","state_url":"https://pith.science/pith/UDJVOJ5S3IGME2SS3SK6DRFEZQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UDJVOJ5S3IGME2SS3SK6DRFEZQ/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-06-22T21:53:43Z","links":{"resolver":"https://pith.science/pith/UDJVOJ5S3IGME2SS3SK6DRFEZQ","bundle":"https://pith.science/pith/UDJVOJ5S3IGME2SS3SK6DRFEZQ/bundle.json","state":"https://pith.science/pith/UDJVOJ5S3IGME2SS3SK6DRFEZQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UDJVOJ5S3IGME2SS3SK6DRFEZQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:UDJVOJ5S3IGME2SS3SK6DRFEZQ","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"a547e97a429ccd1329d7549f2b9b3e9f5bf5c557d47005fe2e8a8faebc012b11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-04T11:22:55Z","title_canon_sha256":"67a171aa51ab8bdb40eb64d699b90a43e81f2dd4d0c8a71168eace3dcb84a6eb"},"schema_version":"1.0","source":{"id":"1603.01424","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.01424","created_at":"2026-05-18T00:44:16Z"},{"alias_kind":"arxiv_version","alias_value":"1603.01424v2","created_at":"2026-05-18T00:44:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.01424","created_at":"2026-05-18T00:44:16Z"},{"alias_kind":"pith_short_12","alias_value":"UDJVOJ5S3IGM","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_16","alias_value":"UDJVOJ5S3IGME2SS","created_at":"2026-05-18T12:30:46Z"},{"alias_kind":"pith_short_8","alias_value":"UDJVOJ5S","created_at":"2026-05-18T12:30:46Z"}],"graph_snapshots":[{"event_id":"sha256:14167d8f6e2d1313211614dd1e05ca3fd6bae4520d023086658bded7159cb615","target":"graph","created_at":"2026-05-18T00:44:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"Vine copulas (or pair-copula constructions) have become an important tool for high-dimensional dependence modeling. Typically, so called simplified vine copula models are estimated where bivariate conditional copulas are approximated by bivariate unconditional copulas. We present the first non-parametric estimator of a non-simplified vine copula that allows for varying conditional copulas using penalized hierarchical B-splines. Throughout the vine copula, we test for the simplifying assumption in each edge, establishing a data-driven non-simplified vine copula estimator. To overcome the curse ","authors_text":"Christian Schellhase, Fabian Spanhel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-04T11:22:55Z","title":"Estimating Non-Simplified Vine Copulas Using Penalized Splines"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.01424","kind":"arxiv","version":2},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:64f7e13d48d13b0c9c40dfd06fc63ffc910d58687362bfdbeb773551a6d6f995","target":"record","created_at":"2026-05-18T00:44:16Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"a547e97a429ccd1329d7549f2b9b3e9f5bf5c557d47005fe2e8a8faebc012b11","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"stat.ME","submitted_at":"2016-03-04T11:22:55Z","title_canon_sha256":"67a171aa51ab8bdb40eb64d699b90a43e81f2dd4d0c8a71168eace3dcb84a6eb"},"schema_version":"1.0","source":{"id":"1603.01424","kind":"arxiv","version":2}},"canonical_sha256":"a0d35727b2da0cc26a52dc95e1c4a4cc22b0666a9119dc1a0cdaa3f2db6e77a8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a0d35727b2da0cc26a52dc95e1c4a4cc22b0666a9119dc1a0cdaa3f2db6e77a8","first_computed_at":"2026-05-18T00:44:16.151279Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:44:16.151279Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YQdT6ztdlBnylZkQUcxBUkmk4c8pPSD4D1VclbteljZ/5W7j5reNXIOhYmtGBrC0D/ziS77hP4OEkKG6yRIUCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:44:16.152101Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.01424","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:64f7e13d48d13b0c9c40dfd06fc63ffc910d58687362bfdbeb773551a6d6f995","sha256:14167d8f6e2d1313211614dd1e05ca3fd6bae4520d023086658bded7159cb615"],"state_sha256":"3f2813813016b14ab818d15849ca0e925decca069a5b91c30f05c1eb4fd91dae"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x3WLhIZfue2doW5pKW1MDeXFzXO2OZ9UbRCUcQDtERO3gryM5OUqJH5vXvG3NRpgiyhLc9ZYmAeAf8u0WkqJBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T21:53:43.299908Z","bundle_sha256":"7ea80f8e73d45fad6f865f9b545914fa486e58d2cf1efd358504a16ba5f057e7"}}